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Finding the Fourth Proportional to 431,431.20, 647,146.80 and 389,440.80

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Solution

The fourth proportional to 431,431.20, 647,146.80 and 389,440.80 is: 584,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,431.20 : 647,146.80 = 389,440.80 : x
  2. Step 2: Convert to fraction form
    431,431.20/647,146.80 = 389,440.80/x
  3. Step 3: Cross multiply
    431,431.20x = 647,146.80 × 389,440.80
  4. Step 4: Simplify right side
    431,431.20x = 252,025,367,509.44
  5. Step 5: Solve for x
    x = 252,025,367,509.44/431,431.20
  6. Step 6: Final answer
    x = 584,161.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.